Consistent and Inconsistent Equations

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• same lines

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

x - 3y = -13
4x + 2y = 4

• (1, 4)

• (-1, -4)

• (-1, 4)

• (1, -4)

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above 

The pair of equations 'y = 0' and 'y = -7' has ____

• one solution 

• two solutions 

• infinitely many solutions 

• no solutions

• Consistent and unique solution
• Inconsistent : No solution 

If a pair of linear equations is consistent, then the corresponding lines will be ____

• parallel

• always coincident

• always intersecting in a unique point 

• intersecting or coincident